Pith Number

pith:GGLFNR3B

pith:2021:GGLFNR3BYFQATSFFW2TI4TESWU

not attested not anchored not stored refs pending

A noncommutative approach to the graphon Fourier transform

Jeannette Janssen, Mahya Ghandehari, Nauzer Kalyaniwalla

arxiv:2109.08646 v2 · 2021-09-17 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGLFNR3BYFQATSFFW2TI4TESWU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T08:36:05.033950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

319656c761c16009c8a5b6a68e4c92b50971f84f9ae0220b20cc88e8343714ae

Aliases

arxiv: 2109.08646 · arxiv_version: 2109.08646v2 · doi: 10.48550/arxiv.2109.08646 · pith_short_12: GGLFNR3BYFQA · pith_short_16: GGLFNR3BYFQATSFF · pith_short_8: GGLFNR3B

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GGLFNR3BYFQATSFFW2TI4TESWU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 319656c761c16009c8a5b6a68e4c92b50971f84f9ae0220b20cc88e8343714ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c507aee79b61e3213b3104285ca6a83af959aa2d25cdb186a43bdab97d17d156",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-09-17T17:00:03Z",
    "title_canon_sha256": "a6d331c69a01bd766930b1f1998c9fe6bb903ffd8b76f9236286caaefa861586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.08646",
    "kind": "arxiv",
    "version": 2
  }
}